{
 "metadata": {
  "name": "ZZ1. Appendix 1 Plotting code snippets "
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "###Basic Imports"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from numpy import *\n",
      "import matplotlib.pyplot as plt"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 9
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "###Basic Plot"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "x = arange(0.,10.,0.1) # generate a range of values as an array, using begin, end, step as input \n",
      "y = sin(x)\n",
      "ll = plt.plot(x,y) # this is the simplest plotting idiom\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAD9CAYAAABQvqc9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nPhGRjbDoExHZCIs+EZGN/D9EF3Pfqv9iVgAAAABJRU5ErkJggg==\n"
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "###Setting Plot Parameters and annotating"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ll = plt.plot(x,y)\n",
      "xl = plt.xlabel('horizontal axis')\n",
      "yl = plt.ylabel('vertical axis')\n",
      "ttl = plt.title('sine function')\n",
      "ax = plt.axis([-2, 12, -1.5, 1.5])\n",
      "grd = plt.grid(True)\n",
      "txt = plt.text(0,1.3,'here is some text')\n",
      "ann = plt.annotate('a point on curve',xy=(4.7,-1),xytext=(3,-1.3),arrowprops=dict(arrowstyle='->'))\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAEVCAYAAAD+TqKGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n"
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "###Multiple Graphs On the Same Plot"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "x = arange(0.,10,0.1)\n",
      "a = cos(x)\n",
      "b = sin(x)\n",
      "c = exp(x/10)\n",
      "d = exp(-x/10)\n",
      "la = plt.plot(x,a,'b-',label='cosine')\n",
      "lb = plt.plot(x,b,'r--',label='sine')\n",
      "lc = plt.plot(x,c,'gx',label='exp(+x)')\n",
      "ld = plt.plot(x,d,'y-', linewidth = 5,label='exp(-x)')\n",
      "ll = plt.legend(loc='upper left')\n",
      "lx = plt.xlabel('xaxis')\n",
      "ly = plt.ylabel('yaxis')\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAYwAAAEKCAYAAAAB0GKPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJztnXlYVGX7x7/DjiugggqIKG6IgkuSWIa5va6VaYpLaGRY\nZlqaWlqZKa4tmma+pqa5Vm8Wrj9zGRcQyR3RXAHZXFBQtmGZeX5/PMw4CAMzcGbOzOH+XNe5mOXM\nOfcZ5pzvuZ97eWSMMQaCIAiCqAQrsQ0gCIIgLAMSDIIgCEIvSDAIgiAIvSDBIAiCIPSCBIMgCILQ\nCxIMgiAIQi9EEwyFQoHAwEAEBATA19cXn3zySbnrffDBB2jVqhX8/f1x/vx5E1tJEARBqLERa8cO\nDg44evQoatWqheLiYrzwwgs4efIkXnjhBc06+/btw82bN3Hjxg2cPn0a7777LmJiYsQymSAIokYj\n6pBUrVq1AACFhYVQKpVwcXEp9X5kZCRCQ0MBAIGBgcjKysK9e/dMbidBEAQhsmCoVCoEBATAzc0N\nvXr1gq+vb6n3U1NT4enpqXnu4eGBlJQUU5tJEARBQMQhKQCwsrLChQsX8PjxY/Tv3x9yuRzBwcGl\n1nm2c4lMJiuznfJeIwiCICrHkO5QZpElVb9+fQwaNAhnzpwp9bq7uzuSk5M1z1NSUuDu7l7uNhhj\ntDCGL774QnQbzGWh74K+C/ouKl4MRTTByMjIQFZWFgAgPz8ff//9Nzp16lRqnaFDh2Lz5s0AgJiY\nGDg5OcHNzc3kthIEQRAiDkmlp6cjNDQUKpUKKpUK48aNQ+/evbF27VoAQHh4OAYOHIh9+/bBx8cH\ntWvXxsaNG8UylyAIosYjY1XxS8wMmUxWJfdKipQXB6qp0HfxFPounkLfxVMMvXaSYBAEQdRQDL12\nipolZWxcXFyQmZkpthmSx9nZGY8ePRLbDIIgjIykPQzyPEwDfc8EYZkYeu6aRVotQRAEYf6QYBAE\nQRB6QYJBEARB6AUJhgQYOHAgfvnlF7HNIAhC4lDQm6g29D0ThGVCQW+CIAjCKJBgiERycjKGDRsG\nV1dXNGzYEFOmTAFjDAsWLEDz5s3h5uaG0NBQPHnyBACfoXDs2LFo2LAhnJ2d0a1bNzx48AAAEBwc\njPXr1wMAfv75Z7zwwgv4+OOP4eLighYtWuDAgQOa/T5+/BhhYWFo2rQpPDw88Nlnn0GlUpn+CyAI\nwiTsvb4XWYqsUq9lKbKw9/peg7dFgiECSqUSgwcPhre3N5KSkpCWloZRo0Zh48aN2LRpE+RyOW7f\nvo2cnBy8//77AIBNmzbhyZMnSElJwaNHj7B27Vo4ODgA4G6ldov32NhYtG3bFg8fPsTMmTMRFham\neW/8+PGws7PDrVu3cP78eRw8eBA//fSTab8AgiCMirZI9GjWA3OOzEFSVpLm9TlH5qBHsx6Gb5hJ\nAF2HUdnhAcIshhIdHc0aNWrElEplqddffvlltmbNGs3za9euMVtbW1ZcXMw2bNjAgoKC2KVLl8ps\nLzg4mK1fv54xxtjGjRuZj4+P5r3c3Fwmk8nYvXv32N27d5m9vT3Lz8/XvL9t2zbWq1cvww9CC4n8\njAhCMmTmZ7L39r7HMvMzGWOMJWYmMr8f/NjFuxdLvW7ouSvp1iCVIVacNjk5GV5eXrCyKu3gpaen\nw8vLS/O8WbNmKC4uxv379zFu3DgkJydj1KhRyMrKwtixY7Fw4ULY2JT9FzZu3FjzWD0Nbk5ODjIy\nMlBUVIQmTZpo3lepVGjWrJnQh0gQhAnZe30vejTrAScHJwCAk4MTZgbNxNg/xmLVwFVYFr0MW4dt\nhf+P/kiYmqBZz1BoSEoEPD09cefOHSiVylKvN23aFImJiZrnd+7cgY2NDdzc3GBjY4PPP/8c8fHx\niI6Oxp49ezRzhRiyX3t7ezx8+BCZmZnIzMzE48ePERcXJ8RhEQRhQiobdloavRQRvSPgvcIb4V3C\nsfbsWiRMTcCy6GVlYhr6QoIhAoGBgWjSpAlmz56NvLw8KBQKREVFISQkBN9++y0SExORk5ODTz/9\nFKNGjYKVlRXkcjni4uKgVCpRt25d2Nrawtra2qD9NmnSBP369cNHH32E7OxsqFQq3Lp1C8ePHzfS\nkRIEYSzUIpGlyNJ4FIO3D4ZnfU/MOTIHM4NmYu3Ztbg46SLG/DEGM4NmorlTcyx8eaHmc4ZCgiEC\nVlZW2L17N27evIlmzZrB09MTv/32G9566y2MGzcOPXv2RIsWLVCrVi18//33AIC7d+9ixIgRqF+/\nPnx9fREcHIxx48aV2fazAXD1a2o2b96MwsJC+Pr6wsXFBSNGjMDdu3eNe8AEQQiCtlfh5OCEhS8v\nxIyDM7Dh3AYsjV6qGXYK7xKOpdFLsfDlhUh+nIw9IXuwNHqpRlwWvrwQUXeiDN4/Fe4R1Ya+Z4Iw\nDs/GJrIUWZhxcAb6tuiLkX4jkaXIwpT9U7Dl0hZcnHQRa8+uxcdBH2Pyvsn4YeAP8HJ6GhPNUmQh\n6k4UBrUepHmNCvcIgiAkgvawkzZ/3/4biVmJmHFwBuyt7csMO20dtlXjUahxcnAqJRZVgTwMotrQ\n90wQwqHLqwjyCMLZu2ex8OWFyFJkwXuFN8Z1HIeVA1Yi6k4U/Fz9NMNQTg5O5XoUz2IxHkZycjJ6\n9eqF9u3bw8/PDytXriyzjlwuR/369dGpUyd06tQJCxYsEMFSgiAI41JRxhMAFCgLELY7DB8HfQwA\nWBa9DOuHroedtR0AYFDrQfBy8ioVmxDCoyiDIFUiVSA9PZ2dP3+eMcZYdnY2a926Nbty5UqpdY4e\nPcqGDBlS6bZ0HYaIh1ejoO+ZIAxjz7U9muI5xnihXdhfYWxH3A7GWOlCu7C/wljYX2EsITNB81j9\n2WcL9AzF0HNXNA+jcePGCAgIAADUqVMH7dq1Q1paWpn1GA11EAQhMSqLTWhnPBUqC7G833I0d2qO\nvi37llq/OhlPVcEsYhiJiYl46aWXEB8fjzp16mheP3bsGIYNGwYPDw+4u7tj+fLl8PX1LfN5imGI\nC33PBFE5hsQm1BlPXZp0QXRyNJb3W17qc5XFJvTF0HNX9NYgOTk5GD58OFasWFFKLACgc+fOSE5O\nRq1atbB//368+uqruH79ernbmTdvnuZxcHAwgoODjWg1QRBE5WiLhNqrmBk0E5fvX0aPZj00sYmE\nqQkAeGxCnfG0J2QPvJy8MKzdMMw5MkcTzK5ObEIul0Mul1f5eET1MIqKijB48GAMGDAA06ZNq3R9\nb29vnD17Fi4uLqVeJw9DXOh7JghOZXUTSVlJGLx9MLYO24qVp3miz9yec7HgOE/oWd5veZUznqqC\nxWRJMcYQFhYGX19fnWJx7949zcHExsaCMVZGLKTEokWLMHHiRLHNIAiiiggRmzBZxlMVEM3DOHny\nJHr27ImOHTtqWldERETgzp07AIDw8HCsXr0aa9asgY2NDWrVqoVvvvkGzz//fJltkYchLvQ9EzUZ\nc4xN6Iuh565ZBL2rCwmGuND3TNQ0tEVCPSGRdmxC3a5D3Up8zpE5CO8SXio2of6cethJDCxmSKqm\ns2TJEnh4eKBevXpo27Ytjhw5gnnz5mkaCiYmJsLKygqbN2+Gl5cXGjVqhIiICM3nGWNYvHgxfHx8\n0LBhQ4wcORKZmZliHQ5BSJpnpznt0awHZhycgZ2Xd5bpFKtu15EwNQELji/AjIMzBG8CKBYkGCJw\n7do1rF69GmfOnMGTJ09w8OBBNG/evEyXWQCIiorC9evXcfjwYcyfPx/Xrl0DAKxcuRKRkZE4fvw4\n0tPT4ezsjMmTJ5v6UAiiRiD12ITeVKk80MzQdRiVHt4XX5Q/5+oXX+i/vq51K+DGjRvM1dWVHTp0\niBUWFmpt/gs2duxYxhhjCQkJTCaTsdTUVM373bp1Yzt37mSMMda2bVt2+PBhzXtpaWnM1ta2zLSv\npkAiPyOCKIWuauz1Z9drqqsTMhMY5kEz9en6c+tLVWKrP7fn2h4xDqFSDD13JXGmV1kwRGTbtm3s\nhRdeYM7OzmzUqFEsLS2tXMHQFgDtubsdHR1ZvXr1mJOTk2ZxdHRkaWlpJj8Wc/6eCcIQtEVC3XYj\nMTNR8/rYP8YyzANLyEzQvH/x7kXm94MfS8xMLPW5qrbrMCWGnrs0JCUSISEhOHHiBJKSkiCTyTBr\n1qxyh6R00axZMxw4cEAz1WpmZiby8vJKzddNEETFUGzCMEgwROD69es4cuQICgoKYG9vDwcHB4On\nW500aRI+/fRTTRrygwcPEBkZaQxzCUKyUGzCMEgwRKCgoACffPIJGjVqhCZNmiAjIwOLFi0CUHo6\n1Yo8jqlTp2Lo0KHo168f6tWrh+7duyM2NtbothOEpVPRNKdzjszB8n7LMbfnXHiv8EZ4l3CsPbu2\nVCtxABjZfqSmKluNVEVCG6rDIKoNfc+EuSOVugmhoToMgiBqPBSbMA4kGARBSILKZq0DKDZRXWhI\niqg29D0TYlHRUJOfq5+mM+zas2vNuqeTWBh87gqY0isaug5DIodn9tD3TIjFszUP2lObqmskpFQ3\nITSGnrs0JEUQhMXwbGxCHY8Y+8fYMkNN6gwnik0IBwkGQRBmTUWxiSxFFpZGL0VE74hSabDqWetm\nBs2k2ISQGMnTMSm6DkMih2f20PdMCImuHk474nYwxsoOOyVmJpYZatpzbY/mde1WH+ba00ksDD13\nycMgCEJ0qprhFN4lXDOVqfZQU49mPciLMAZGEi6TouswJHJ4BjFq1Cj2559/Cra9ixcvsqCgoArX\nqYnfM1F9Kmr096wXUV5n2ITMBDZw60BN8FoNeRL6Y+i5K4kznQSDc/HiRebr6yv4dgcOHMh2796t\n8/2a9j0TwkAZTuJj6Llb44akns2yAHjetbbra4ptGIO1a9di7NixOt+3sqrav3vMmDFYu3ZtVc0i\nCACU4SQJjCRclXLnzh0WHBzMfH19Wfv27dmKFSvKXW/KlCnMx8eHdezYkZ07d67cdXQdRnmvP3tH\nUpU7FCG2kZqayoYNG8YaNWrEvL292cqVK9nDhw+Zh4eH5m4+OzubtWzZkv3yyy+MMcZCQ0NZeHg4\n69u3L6tbty576aWXWFJSkmabLVq0YFFRUTr3KZPJyn190qRJ7PXXX9c8nzlzJuvdu7fmeUpKCnN0\ndCw12ZM2Iv6MCDOnsvkltD0Jbc9C24vYcXmHRU1KZEkYeu6Kdqanp6ez8+fPM8b4hbF169bsypUr\npdbZu3cvGzBgAGOMsZiYGBYYGFjutgwRDMae/nATMhOq7M5WZxtKpZJ17tyZffXVV6yoqIjdvn2b\ntWjRgv3f//0fO3jwIGvcuDG7f/8+e/vtt9mIESM0nwsNDWV169ZlJ06cYAUFBWzq1KnshRdeYIwx\nlpOTw2QyGcvIyNC5X12CkZeXx1q3bs1+/vlndvz4cdawYcNSM/0xxli9evVYXFxcuZ8nwSC0MSQ2\nQRlO4mIxgvEsr7zyCjt06FCp18LDw9mOHTs0z9u0acPu3r1b5rOGCgZjTBNAS8hMqJrB1dhGTEwM\na9asWanXIiIi2IQJExhj3Kvy8/NjHh4e7NGjR5p1QkNDWUhIiOZ5Tk4Os7a2ZikpKSwlJYXJZDJW\nUFBQ7j5VKpVOwWCMsdOnTzNnZ2fm5eVV6jtX4+7uzk6cOFHuZ0kwajaGpsE+61GoxYBEwvQYeu6a\nRQwjMTER58+fR2BgYKnXU1NT4enpqXnu4eGBlJSUcrcxb948zSKXyyvcX5YiC8uilyFhagKWRS8r\nE4/Qh+psIykpCWlpaXB2dtYsixYtwv379wEAEydORHx8PMaPHw9nZ2fN52QyGTw8PDTPa9euDRcX\nF6SlpcHJiffByc7O1rx/8uRJzfZdXFwAoNQ+o6OjNet269YNLVq0AACMGDGijM3Z2dmafRBEddJg\n1bGJTw5/gplBMzXprpQGa3zkcnmpa6XBGEm49CY7O5t16dKF7dq1q8x7gwcPZidPntQ87927Nzt7\n9myZ9XQdRnmvm0MM49SpU6xVq1blvldcXMyef/55FhoaypydndnNmzc174WGhrJRo0ZpnmdnZ2s8\nDMYY8/HxqVIMgzHGVq1axTp06MC6d+/OFi1aVOq9lJQU5uDgQDGMGk5102Apw8n8MPTcFfVMLyws\nZP369WPffvttue+Hh4ez7du3a54LMST1rPvMmOGub3W3oY5hLFmyhOXl5bHi4mIWFxfHYmNj2fz5\n81mPHj2YSqViERERLCgoiCmVSsYYF4x69eqxkydPsoKCAjZt2jRNDIMxxj744AMWERGhc7+6BOPa\ntWvM2dmZXbp0id24cYM5OzuzCxcuaN7funUrGzRokM7tkmBIk6oONelKg6VhJ/PDYgRDpVKxcePG\nsWnTpulcRzvoferUKcGC3uZAWloaCwkJYY0bN2bOzs6se/fubMmSJczFxYXdunWLMcaFpUePHhoR\nGD9+PJs0aRLr27cvq1OnDnvppZdYYuLToqXLly+z9u3b69ynlZVVmdeKiopYt27d2JIlSzSvrVmz\nhnXo0EHjUVAdRs2hsqymsL/CWNhfYZpkj2fjEQmZCZp1KDZh/liMYJw4cYLJZDLm7+/PAgICWEBA\nANu3bx/78ccf2Y8//qhZb/Lkyaxly5asY8eO5Q5HMWaZglEVxo8fz+bOnVvhOqNHj6ZKb8IghB5q\nojRYy8FiBENIaopghIaGVioYYiC171nq0FATocbQc9cssqQI/ZDJZJDJZGKbQVggQmQ16aq4pkZ/\nNQgjCZdJ0XUYEjk8s4e+Z/OEhpqIyjD03JXEmU6CIS70PZsHNNREGIqh5y4NSRGEBUNDTYRJMZJw\nmRRdhyGRwzN76Hs2LTTURAiFoeeuJM50Egxxoe/ZuNBQE2EsDD13aUiKIMwQGmoizBIjCZdJ0XUY\nEjk8g6jOFK3dunVj8fHxBn+uJn7PxoCGmghTY+i5K4kznQSDU90pWn/99ddSEynpS037noWChpoI\nsTH03KUhKQlR2RStlTFkyBAcPXoU9+7dE9AqQhsaaiIsGVmJylg0MpkM5R2GrtflcuNUSwcH6/9V\npqWlYcqUKThx4gTq1KmDDz/8EGPGjIG/vz/WrFmDwYMHIycnBwEBAZg3bx7Gjh2L8ePHw8HBAbdv\n30ZMTAw6d+6MzZs3o1mzZgCAli1b4pdffkFQUFC5+4yOjsYrr7yC8+fPw8PDAxcvXkSvXr0QExOD\n1q1bAwD69euHsWPH4s0339T7WHR9zwQXiB7NesDJgc8lkqXIwoyDM9C3RV+M9BuJpKwkDN4+GFuH\nbcXas2ux8OWFyFJkwXuFNy5Ouoi1Z9civEs4xvwxBntC9sDLyQs743fi71t/Y3m/5aW2G3UnisSB\nMAhDz13yMERApVJhyJAh6NSpE9LS0nD48GF89913OHPmDDZs2ICJEyfiwYMH+PDDD9G5c+dSXsO2\nbdvw+eefIyMjAwEBARgzZgwAIDc3FwkJCWjTpo3O/QYFBSE8PByhoaHIz8/H2LFjsWDBAo1YAEC7\ndu1w8eJF4x18DaCqXsTHQR8DAJZFL8PFSRcx5o8xmBk0s5QXkaXIwsj2I7G833KNFwGQJ0GYBvIw\nBERfD+P06dN44403kJSUpHlt0aJFuHHjBjZs2IAPPvgAR48eRVZWFi5duqSZdW/8+PEoLCzEtm3b\nAHCRqF+/vmY7np6eUCgUsLOz07nv4uJiPP/88ygoKICnpyf27dtX6v25c+ciPT0d69ev1/u4ycMo\n7UlkKbIw58gczAyaicv3L8PP1a9SL+LjoI+x4PgCANCIgZ+rH5ZGL8XClxdqtkteBCEk5GFYAKaa\norV9+/aoW7cu6tati6gofjdqY2OD0NBQxMfHY/r06WVse/LkSal9EuWj7UUA3JOYcXAGdl7eCScH\nJ8wMmonB2wfDs76nXl5Ec6fm6Nuyr2Z7NGUpYY6QYIhAs2bN4O3tjczMTM3y5MkT7NmzB0qlEu+8\n8w7efPNNrF69Grdu3dJ8jjGG5ORkzfOcnBw8evQITZs2Re3atdGyZUtcu3ZN8358fDyys7ORnZ2N\nHj16AODzpM+fPx9vvfUWPvroIxQWFpay7erVq/D39zfyN2CZGDNgTUNNhEUgXIKWeOg6DHM9PLGm\naFWpVKxPnz5s9uzZjDHG+vfvz2bOnKl5Pz8/n7m4uLD09HSDjsdcv+eq8GyqqzpVVf061UYQUsLQ\nc1cSZ7qlCQZj4kzR+t1337GAgABWVFSksaFRo0bs5MmTjLGaW4ehT8Gc+oJPtRGElCDB0ON1S8XY\nU7QGBgbWmEpvQ6qq1Rd8mseakBokGHq8bqnQFK1VpzpV1YwxGmoiJImh566oQe+33noLbm5u6NCh\nQ7nvy+Vy1K9fH506dUKnTp2wYMECE1toXtAUrYYhRJB6WfQyJGUlUW0EQQDi3hoeP36cnTt3jvn5\n+ZX7/tGjR9mQIUMq3Y6uwxD58GoM5vQ9C93ATzuGQUNNhNQw9NwV1cN48cUXK835ZzW8IIwoi7bn\noH6cpcjSFM9Vpx7iWc/h8v3L2BOyB5fvX6baCKLGYyO2ARUhk8kQHR0Nf39/uLu7Y/ny5fD19S13\n3Xnz5mkeBwcHIzg42DRGEiZBu5JaPbw0M2gmcgpzMOPgDAC8QlrN37f/RqBHIJZFL9OIhLqqWl0P\nof5M1J0ojUioq6rVoqAWAy8nL822SSQIS0Uul0Mul1d9A8ZxdPQnISFB55DUkydPWG5uLmOMsX37\n9rFWrVqVu56uwzCDw6sRGON7NiRIrc5QUmcxUT0EQeiHoeeu6FfUigTjWZo3b84ePnxY5nVdB+3s\n7MwA0GLkxdnZuVq/ATUVxR/UgqEtDNqZTGqBoHoIgtAfSQnG3bt3mUqlYowxdvr0aebl5VXueuRJ\nWA5CV1Jr10BQPQRBGIah105Rg94hISEICgrCtWvX4OnpiQ0bNmDt2rVYu3YtAOD3339Hhw4dEBAQ\ngGnTpmHHjh1imktUkYrSW9WdXP1c/aoUpFbPBwHw2AI18CMII2Ik4TIpEjkMSWGqSuodl3ewzPzM\nUp4DeREEoR+GXjslcaUlwRAHbVFQP1ZfrKmSmiDMH0OvndTenNCbiuaAUD+ecXAGejTroVmHKqkJ\nQjqQYBAVom97DW0hUc84t7zfcsztORfeK7w1IvHspEHqmMWzItGjWQ+KPxCEuWEkT8ekSOQwREOo\nzKWqpLdq70sNDTURhGkw9NopiSstCYbhCD0HBKW3EoTlYei1k4akJMyzMYe91/dqhpO0h5ei7kSV\nSWdVDw3pO90opbcSRA3ASMJlUiRyGIIglOfAmGGZS89mSan3T14EQZgvhl47JXGlremCIXTNg/Z6\n1F6DIKQLCYZEMWXNA80BQRA1A0OvnRTDMGN0pbSqW3obq+aB5oAgCKJcjCRcJsWSD6OqnkNVWnqT\n50AQhDaGXjsrXfvGjRssPz+fMcbYkSNH2IoVK1hmZmYlnzIt5i4Y+tY57IjbUSodVeiW3lTzQBCE\nNoILRseOHVlRURG7ceMGa9WqFZsxYwYbMGBAlQ00BuYoGFXNVtLHc6CaB4IghEBwwQgICGCMMbZk\nyRK2cuXKUq+ZC2IJRnUqpHVlK+njOWh7Hpn5mdSYjyCIKiG4YHTr1o1t3bqVtW/fnt2+fZsxxlj7\n9u2rZp2RMKVgGLPOQV/PgVp6EwQhBIZeOyvNktqwYQNOnTqFOXPmwNvbG7dv38bYsWONF4U3A7Sz\nk9SPsxRZmgppdYfW8ib80adCWle2kr7V0nVs68DJwalUthJlLhEEYXSMJFwmpSqHYaxANGNVr3Mg\nz4EgCFNi6LVT59rDhw9njDHm5+dXZunQoUP1rBQYfQ/a2IFofSukKVuJIAhzQDDBSE1NZYwxlpCQ\nUO5iTmgftFiBaMaozoEgCMtCMMFQEx8fX+a1o0ePGrQTXUyYMIG5uroyPz8/netMmTKF+fj4sI4d\nO7Jz586Vuw4AlpGTzDOG4naIEogmz4EgCEtDcMFo3749W7x4MVOpVCw3N5e9//77LDAwsMoGanP8\n+HF27tw5nYKxd+9eTc1HTEyMzv0CYEePgu0+XIedPd+Pnbv8Dnt7qzs7m/AL+2BvWLUa7lEKK0EQ\nUsVQwZCVfEgnubm5mDVrFs6cOYOcnByMHj0as2fPhpWVMG2oEhMTMWTIEMTFxZV5b9KkSejVqxdG\njhwJAGjbti2OHTsGNze3UuvJZDIcPap7H/b27pDZeWPr1ZMY13Uu9ibG4bUO0zAu8n3sCdkLLycv\nJGUlYfD2wZoeSn6uflgavRQ9vXqif8v+AICoO1EY1HoQshRZmseCcf8+kJEB+PoKt02CqACVCkhJ\nAR4/5ktuLtCgAeDpCTRqBAh0iotDVhYQH88PslYtoE0boE4dsa0yO2QyGSqRgFLYVLqCjQ0cHR2R\nn58PhUKBFi1aCCYWlZGamgpPT0/Ncw8PD6SkpJQRDAD4+eenjwMC+KKmoCAVKEjF6x5A3t0F6OUA\nZN34C6v9nPDP2efxuEk/pCts8eug6YhPO4SB7cZDJrPWNNxTp7sKmsJ6+zbw229ATAxw5gyQnQ10\n7AgcP1523cxMYNYsYPBgoHdvoHbt6u2bqJEwBkRHAwcPAqdOAbGx/Kfk4gLUq8evqxkZXESePAH8\n/ID+/fnSvTtgZyf2EZSDSlW+sl2/Dsycyd978gS4cQNo2BB44w1g+XLT22kmyOVyyOXyKn++Ug/D\n398fQ4cOxeeff46MjAyEh4fD3t4ev/32W5V3qk1FHsaQIUMwe/Zs9OjBO7L26dMHS5cuRefOnUsf\nRCUehqFYWTnA0bE1atVqW7K0KfnbGtbWAtylKJVAhw5AcDDw0ktA165AixaATFb++llZwMaNwO7d\nwD//cOGYMQPo0qX6thCS5+5dYNMmYMMGfv187TUuAM8/zz2J8sjP5z+1//s/viQmAm+/Dbz/PuDh\nYVLzy+fECeCHH4BLl4DLl3WfO2qUSiApCSgq4t4GAcAIHsZPP/2E5557DgDQpEkTREZGYvPmzVW3\n0ADc3d1ZSjpVAAAgAElEQVSRnJyseZ6SkgJ3d/dy12Ws8t+MvqhUCuTmXkJu7qUy79nbu6NWrbZw\ndGxTIiR8sbf3hExmrd8OrK25u6yvwU5OwIcf8iUrC1i/Hnj1VeC994BPPjHgyIiaxMOHwMKF3Pse\nNozfc3Tvrt/PztER6NmTLwsXArduAStXcie4f3/gyy+B1q2NfghlOXaM7zwpCZg+nRulzwFZW/Ob\nMl388w+/iXNwEM5WCVKph6Hm/v37UCgUAADGGLy8vAQxoCIPY9++fVi1ahX27duHmJgYTJs2DTEx\nMWXWk8lkeJiTCkX+dVxK2YPW9ezwOPsiMp9cgJXyLgCVILZWBPdKfEo8kzaoVas1HB1aoVaeC2ya\ntIVMKDVTU1jIXe2GDYXdLmHxFBQAK1YAy5YBI0YAn38ONG4szLYfPwbWrOGjOu+8A8yZY8IR0mnT\nuJf92WfAmDGAra1w2w4NBeRyfnADBwq3XTPHUA+jUsGIjIzE9OnTkZaWBldXVyQlJaFdu3aIj4+v\ntrEhISE4duwYMjIy4Obmhi+//BJFRUUAgPDwcADA+++/jwMHDqB27drYuHFjmeEooOKDVqkUyMu7\ngby8K8jLu4rbt68iPf0q3NyuwcamsNrHoA82Nk4lQtIajo6tNH8dHVvBxqaeSWwgagZxccDYsUCz\nZvyibqzRl7Q04OOPn44MDR5snP2UIjUVcHUVVii0OXSIq2D37sB33+ker5MQggtGx44dceTIEfTt\n2xfnz5/H0aNH8csvv2DDhg3VNlYoDD3o4mJg/nwlIiMTsGTJVbRrdxV5ef+WLFdRXJxlRGtLY2fn\nVuKZtNJafFCrVquqxUuSknj0sgb82ImnqFT8GrdoEbB0KTB+vHBDtBUhl/Ob8xEj+L6NdS03Gbm5\nwBdfAFu2ADt28DijhBFcMLp06YKzZ8/C398f586dg7W1NTp27IhLl8qO74uFoQet5tgxYNw4YPhw\nfpLZ2PDhtqKiBxrxyMu7VrL8C4UiAYDh+6kqdnaNS8REvbTUPLaxcSr/Qz/+CEREADt38jslQvI8\nfgyEhPC/v/xS8VC9MXj4kIvGw4f8GivQaLW4HD8OuLlJPkAuuGD06dMHu3btwieffIKMjAy4urri\nzJkziI6OrraxQlFVwQCAR4+A0aN59sjOnUDdurrXVakUyM+/qSUi15Cfz/+a0isBABsbFy0R4YuD\nA/9rd/AMZG9PBObPB0qG9ghpkpAADBnCk+1WrOA3PWKgUgHffMOHwXbtqsa9CmPA2rXAlSs8oE0Y\nFcEFY+XKlQgJCYGzszO2bNmCJ0+eYMyYMWjQoEG1jRWK6ggGwDPt3nsPOHsW2LMHaNrUsM9zryQD\n+fnXkZf7L/LyryM//wZ/nncDjJkmVqLGysoRjlYecDiTBscGHeDYazQcNKLiBSsrygSRAqdOAa+/\nzhPlpkwR2xrO/v3c21i/nguZQahUPPPp4EHgzz+BVq2MYiPxFMEFY86cOdi5cyc6d+6Mt956C/36\n9TNZ4Z6+VFcwAH5js2gRv7k5cABo104Y2xhToqAgGXl51zUCohYThSIRjCmF2ZHeyGBv7w4HhxZw\ndPQu+dsCDg7ecHDwhp1dY8hk5vX/Jcryf//Hg9ubNplfUs8//wBDh3IHd+JEPT+kVPKA89WrwL59\nPJXc3GCMp7U7O4ttiWAILhgAoFKpcPDgQfz88884c+YM3njjDYSFhaFly5bVMlYohBAMNZs2AZ9+\nChw+DLRtK8gmdaJSFUKhSCoREPVyE3l5N6BQJMIU6cDPYmXlAAcHLzg4cBHhotJcIyg2Ns7CpwgT\nBrFvHw9q79oFlNS0mh03b/J6jcmTgY8+qmTlwkIeTHz4kHsW5trC49QpPn598KBkvB/BC/cAwMrK\nCo0bN4abmxusra2RmZmJ4cOHo0+fPli2bFmVjTVHQkP53z59uGjojHldvcr7KLz4YpX3ZWVlh1q1\nWqFWrbI/vqdicrNESG6VPL4JhSIBjBVVeb8VwdOQeVymPKyt65aIR3MtMeGLvb0XbGycSFCMyO7d\nQFgYEBnJK7XNFR8fnkH10kuAvT0XDp0UFfEL8KZN5l041707Lzzp1YsHxU2dXWAGVOphrFixAps3\nb0aDBg3w9ttv47XXXoOtrS1UKhVatWqFW7dumcpWnQjpYajZuJHXBx05Uk5Fa0ICF4rFi/m4gIlR\nD3NxAbmltdyEQnEbSmWOyW1SY21dr0RAvMr8tbf3gq1tQxKUKqL2LPbsAbp1E9sa/UhI4KLx+ee8\ntYgk+PFHXhV54oThAU8zQ3AP49GjR/jjjz/KVHZbWVlh9+7dhltoIUyYwIdV+/XjDds0v4v797mv\nPXu2KGIBADKZteau3tm5T6n31GnB+fm3oFDcfuZvAm/EaESUyic626oAgJVVLTg4NIO9fbMSMfHS\netwMdnbusLKy9GR+4YmN5d5vZKTliAUAeHtzT71XL95uZMwYsS0SgEmTeCyjb1/uaZhRApCx0bs1\niDljDA9DzcKFwO+/899FXWQDL78M/Oc/wFdfGWV/xkapzIdi/H+g6OENxZCuyM+/DYUiQfNXqcwW\n2UIr2Ns3LRERtbB4aj33hI2NS43yUq5f53fp69aZqKLaCFy5wkVjxw7+VxJ88w2vWNTqqG1pGCXo\nbe4YUzAY46UMd5IY9lkNgpWnB0+lsuQLVmoqHwBX/+BLYIyhuPhRiYAkQKFQL4mavypVgYiGc7iX\n4gl7+6fLs89tbCooqLEg7t4FgoL40HlYmNjWVI8jR3iBYeyyY/Aa+TwPbhCiQoJhBIqLgVdeAQKt\n/sFnf3SCzFak6ighuXCBu9S7d+sdPWVMhcLCe1pCklQiJuolyeQ1J7qwsalfIh4eWn9LL+bexys/\nn3eLHTqUx9OkwIFPj6PrkuFAVDQaPu8jtjk1HhIMI5GTw+Pcb77Ju4xLgj17eO57VBQfbK4mXFDu\naoSkoCCp5DFfCgqSoFTmCmC4MFhb131GRNw1f+3s3GFv714SpDd9XQpj/LemVAJbt1q2Q6shIQEI\nCsIvfTZh1fV+OHbMvJOiagIkGEYkMZHfjG/bxkMZkmDlSj7d2vjxRt/V0yGvxBIBuQOF4o5GTBSK\nZBQV3Te6HYYgk9mVxFSeioi9fdOSx+rXm8Laupag+/3mG97/7uRJ3kvS4nnyhI+thYeDvT8FI0fy\nn91PP4ltmIAwxpt/Nm8utiV6Q4JhZA4f5pkep09LpMmamaFU5qOgIPkZMUlGQUEyFIo7KCi4A5VK\nIbaZZbCxcYKdXVMtQWmq+Wtn16TkcWNYWVU+bn/wINfvmBjeptziYYz3MGnUiKekymTIyQECA/kU\nF3pXg5s7588DgwbxHkNNmohtjV6QYAhFQQHPZSynME9yd38WBPdSHkKhSNYICRcT7eepRitsrC62\ntg21BKSJZrG3bwI7u6a4f78JevVqgm3bHNCzp9jWCoRCASxYwAMxWoHua9f46bV7NxcPSfDll/yu\n8vBhi+j1ToIhFB98wLOJ/ve/Mm8xxr2MWrUk5lJLBHVwvqAgpWRJ1nqcYvaiAqg9lsYlgvL0LxeW\nxprFxqaBRacY//UXb5x45gyfG8niUal4c6+OHfmcCWYOCYYQ/P47MHMmcO6cziZo2dlAly78hiIk\nRLhdE6aBMRWKijI04sGXFBQWPn1cUJAiatW8PshktrCzcyslIurntrZupV6ztq5rluLyySc8aW/v\nXj7NgMWTkcEvDitWAK++KrY1FUKCUV1u3eI9Y/btA7p2rXDV8+d5JfipU7x3jiSIiwNWrdKMNdd0\nioufoKAgVUtIUkuep6GgIA2FhWkoLEwXoeuw4VhZOWjEg4vJ00X7ua2tq0l7ghUV8fThESP0aFRo\nKZw+zYt7d+826/OIBKM6FBbyTI7QUL0nGPj+e94zLSpKInVIBQU8Fezdd3nKLVEpjClRVPQABQVp\nz4hJKgoK0jWiUlh4H6acsbE6cM/FFba2rhoRsbMr/fjp30Zlg/mMGXShTEjgcYz9+/nNuSQw8DsQ\nA4sSjAMHDmDatGlQKpV4++23MWvWrFLvy+VyvPLKK2hR0hXy9ddfx9y5c8tsRzDBuHaNTxn23//q\n/Y9mDBg2jJcxfPNN9U0wC/79l0cjjx0DfH3FtkYyqFRFKCq6X8ozUSjSsWtXGlq0SIenZ3qJsNyD\nGK3tq4O1dT2NeNjlO8A29hpsXxkPO7tGsLUteb3kfVvbhrCysiuzjZ07gblz+UhwRTNfEsJhMYKh\nVCrRpk0bHDp0CO7u7njuueewfft2tNOauUgul+Obb75BZGRkhdsyZVpteTx6xGNcmzYBvXuLZoaw\nrF/Px2BjY6m6yogsW8ZHLY4eBayt+WvcY8lAYeFdFBaml3gp6uWu1pJuVoWQhsAFplGJgDQqEZRG\n2LWrIfLyGuG997iwqAXG2rqOWcZfLB2jzIdhDGJjY+Hj44PmJUUuo0aNwl9//VVKMACIKgT64uLC\nr68TJgCXLpnnZGEG89ZbfOrBuXO510UIzsWLPJHmn3+eigXAuxGr4wmAf4XbUCpzUFh4r0RA7pUS\nE/6cv1ZUdM8s+oCpUSqfID//CfLzS0+PoB6Oiosrvb5MZlciIPosDUpEhnLehUY0wUhNTYWnVpdH\nDw8PnD59utQ6MpkM0dHR8Pf3h7u7O5YvXw5fHUMk8+bN0zwODg5GcHCwMczWSf/+fA7jKVOAX34x\n6a6Ng0wGrFnDh6cIwVEoeGr28uXVKwy2tq4DR8c6cHSsePZLxhiUysdaInIPRUX3ynl+H0VF983O\nc2GssGQYL03vz1hZOWgExMamQYmQNCj3NRsbl5K/TsZpBfPoEfDHH6JPCiKXyyGXy6v8edGGpP73\nv//hwIEDWLduHQBgy5YtOH36NL7//nvNOtnZ2bC2tkatWrWwf/9+TJ06FdevXy+zLbGHpNTk5gKd\nOgEREcDw4WJbQ5gz06fzLhK//WaecVGlMlcjHk8F5X7Ja/dQWPhA63kGLC3mohsr2No6a4mJS8lj\nF42oPH389D1r63oVD5k9fszHrf/7X353aSZYzJCUu7s7kpOTNc+Tk5Ph4eFRap26WpGvAQMG4L33\n3sOjR4/g4uIijBEZGXySgdmzBTlra9fm3sUrrwAvvAA0biyAjYTkiIri/cji4sxTLADA2ro2HB35\nnO6VwZgSxUWPUPjPQRS1d39GTB5oFv76gxKBEf8Gr3xUKCp6iKKih8jP1/9TMpk1bGycYWPjXCIk\nzlqiUvLahlGwWTEGtu23wMa5WcnrzrCyspwYoWgeRnFxMdq0aYPDhw+jadOm6NatW5mg97179+Dq\n6gqZTIbY2Fi88cYbSExMLLOtKnsYISG854vA6U2ffsonvfn9d0E3S0iA/HwgIABYtIhn19VEeFD/\nUSkx4UH+p4+LijLw5MkD3L//AA0bZoAx84m/CI2VlUOJuDhrREctJjY2TqVes7FxKrWelZVjtZIB\nLMbDsLGxwapVq9C/f38olUqEhYWhXbt2WLt2LQAgPDwcv//+O9asWQMbGxvUqlULO3bsEM6AP/7g\nTcIuXBBumyV8/jnQuTMfbtCan0gaWEBuuTnz+ed82LKmigWgDurzrKjKmDcPOHuWYdeuPBQXPxWT\nwsIHKC5+qHnOl4elHptz6xdtVCqFwfEZNTKZrZaoOJVangpO6cXauj5sbRvAzs7wXiw1s3AvI4OP\nJ/72G9Cjh1FsiokBXnuNDzs0bGiUXZieHTv4eIpWnInQH/Vv4tIl3riVqJzCQp459cknwOjR+n+O\nB/lzNALCxeWhlrA81HrtkeaxubeCEYp69QLRuXOM5dRhCInBgjFuHL+Kf/ut8YwCD2ymp/PxakmQ\nlQW0b8+Fo5wuvoRuFAruWcyfLyGvU6ksnQ9sJP75h89lHhdn/AaFKlUhiosfaQnJoxJxefSMuGi/\nl2l2WWWV4eLSHx07HrCcISnRKCzkbWYXLDD6rr76CvD3ByIj+TSbFo+TE7B6NZ9c+uJFwNFRbIss\nhogIoF07CYlFbu7TnmvPJKsIzXPPPe3Ws3OnUXcFKys7TcNGQ1CpCkpEJBPFxZkaQdF+XFSUWfL3\n6XrFxZmi9CGzsalasVjN9DBMiFzOp9q8fJnPMCYJ3ngDaNECWLxYbEssgvh4IDiYa2zTpmJbIxAf\nfQQ8eGCyoqP8fH7ztWwZz0KUCnzoLFtLaDJRXJxVSlD4a+olS/N+UVEmGCus0n6bNg1H69Y/0pCU\nORIWxlNuV64U2xKBuHcP6NCBTw0XECC2NWaNSsVTrN98E5g0SWxrBCI2lrvMly+bNEB39Cj3NOLj\nqdeUGqUy/xkhySojLMXFj595PwuNG4fCy2suCYY58ugRH/r/808JzSymbkxI0dsKWb0a2L4dOH5c\nInM9FBXxtv+zZhkWhRaICRO4p75ihcl3bTyOH+f9hfz8TL5rEgwzZft2nnt/9qxFzNxICEBKCg90\nS6rp79KlfPrRAwdESa9++JDffO3ezWMbkmDdOt6MLjra5HcVhl47pXDPUzl//MEb7ovIqFF8/Prr\nr0U1gzAhU6cC770nIbEAeMM0ESfXatCAxzHeeQcoLhbFBOEJCwNsbICSGjRzRvoexp07vIouOhpo\n3dq0hj1DQgK/K/rnHz5/BiFd9uwBPvyQp4JSd3hhYYzPdNm/PzBjhtjWCIQ6M+LSJd59wkTQkNSz\nvPYaD8x+8YVpjdLBokXAyZP8gkIF09IkN5cPm6xbB/TtK7Y10uTmTT4x5LlzQLNmYlsjEJ9+Cty+\nzeucTAQNSWkTGQlcucKbC5oJ06dzT2PXLrEtEZC8PN6eNy9PbEvMgq++4jP9klgYDx8fXpcxdarY\nlgjI3LlAaipPVzZTpOth5ObyweOffwZ69RLFLl0cOwaMHcu1TDLpgaNH84kdIiLEtkRULl/mP7e4\nOOpWbGwUCp7d/e23vBJcEpi4Vxt5GGpiY/kgp5mJBQC89BLw8su8sZpk+PprPgZz9arYlogGY8C7\n7/L/q2TE4uJFHrk3QxwcgB9+4J6GZJxbMx+nlq6HYebcv8/Trg8d4n0QJcHKlXys7cgRs//hG4NN\nm4BVq3iTQRO0WDI+6qrDCROAiRPFtkYno0YBLVsCCxeKbYnlQUFvC+LHH4EtWyRU1FVcDHTrxttG\njB0rtjUmJTOTj4BGRkqoPmD9eu41ilAfYAhpabxtyIkTQNu2YltjWdCQlAUxcSJQUCCROcABnksu\nYo6+mMydC7z6qoTE4uFDnrWzZo1ZiwXA65vmzOFDUxZ436ibwkLg33/FtqIU5GGIzD//8LY8V64A\nzs5iW0NUhbNngUGD+P9QqNmDReedd3iQwEIaoBUX83KruXN5b0xJEB0NjBzJ44J16hhlFzXbw7h4\n0eJuMZ57jnffnDtXbEuIqqBS8ZjwokUSEgvGeMvy+fPFtkRvbGx4APyjj4DsbLGtEYigIF7MZ4Kp\nGPRFOh7GhQu8/PPaNT5vgwXx6BEf/967l88uRlgO69bxzO0TJ8x+5KZGMH48b6C7fLnYlgjE3bs8\nd/j4cT6hisDU3KB3jx68h/Q774htTpXYsAH473/NPr5IaPHwIRf6gwd50JUQn3v3ePbh0aOiNH81\nDitW8G6Lf/8teHzQooakDhw4gLZt26JVq1ZYsmRJuet88MEHaNWqFfz9/XH+/HndGyso4E28LJTx\n4/lvYeNGsS0RmI0beQqRBPn0Uz7ETGJhPri58S5A779vcaPTupk8mVd/HzoktiUAE4ni4mLWsmVL\nlpCQwAoLC5m/vz+7cuVKqXX27t3LBgwYwBhjLCYmhgUGBpa7LQCMxcYa3WZjc/YsY66ujD18KLYl\nAjJpEmOTJ4ttheDExjLWuDFjmZliW0I8S1ERYwEBjG3dKrYlAvLgAWMqleCbNVQCRPMwYmNj4ePj\ng+bNm8PW1hajRo3CX3/9VWqdyMhIhIaGAgACAwORlZWFe/fulb9BCeQzdu7MWzJJKgC+cCHw229A\nRd6hhaFU8kD3kiUWFy7TzZkzvOBSAtjY8ImrPv4YePJEbGsEomFDs0hXtxFrx6mpqfD09NQ89/Dw\nwOnTpytdJyUlBW5ubmW2N0+rz0ZwcDCCg4MFt9kULFjAY1thYRIJgLu4cNGYPJm36ZVAgGb9esDe\nHhg3TmxLBEKpBMLDeT92iRAUxHNgvvyS5qDRRi6XQy6XV/nzogmGTE+1ZM8MROr63DyJNGZyduYp\nmpMnSygA/tZbPJ1o0ybeZsKCycgAPvuMB7rN4IZPGP77Xz7p/JgxYlsiKEuW8DbzEyZIKABeTZ69\nmf7yyy8N+rxolyN3d3ckJydrnicnJ8PDw6PCdVJSUuDu7m4yG8UiNJQLxYYNYlsiEFZWPEleAj3d\nP/2U9y6STKD7wQMeJV69WkIKyHF15Y0gJRUAVyPSdIOiCUbXrl1x48YNJCYmorCwEDt37sTQoUNL\nrTN06FBs3rwZABATEwMnJ6dyh6OkhpUVP3/nzOGpm5KgSxfgmRiVpXH6NJ/4ysCbMvNm9mze96tD\nB7EtMQqTJvE4xrZtYlsiIHfvcpdJhApF0QTDxsYGq1atQv/+/eHr64uRI0eiXbt2WLt2LdaWzG07\ncOBAtGjRAj4+PggPD8cPP/wglrkmp1Mn3uJgzhyxLREQC76DVSr5MKGkAt3Z2XxqUIkM55aHtfXT\nAPjjx2JbIxCNG/PpBkW4c5FO4Z7lH0YZsrJ4AFxSHVAtlB9/BLZu5QW3Fqx7ZTHxhD1i8fbbfLKy\nb78V2xKBEKhCseZWelv+YZSL5OZYsEAePODBU0nNXVLDkOT/cPVq4NdfAbm8yqJvUZXeROWMG8eb\nhq5bJ7YlApORYTEV4LNm8f+DZC40NZBGjfhc6++9xxtGSoJJk4CcHO76mgjyMCyAuDigd28+X7Sr\nq9jWCMTMmXzM7b//FduSCjl5EggJkdj86zUUpRLo3p2LxvjxYlsjEJcuAba2VW5MSENSEmXGDH5T\n/vPPYlsiEI8f8859v//Oz2IzpKiIV99/9pmE5lhISOAzDtnbi22JKKjnLomPBxo0ENsa8aEhKYny\nxRfA4cM86CoJ6tfnPajffVe0nPLK+P57oEkTYMQIsS0RiMJCfrU8eFBsS0SjSxf+//z0U7EtsUzI\nw7Agfv+dC8eFC9wLtXgYA/r25RcxM2tLkZICBATwavvWrcW2RiAWLeJjbHv21IjMKF1kZXHn9o8/\neHZqTYaGpCQMY8CAAcDLL/MQgCS4dg3o2RO4cQOoV09sazS8/jrPVpRMkd7t2zw3+8wZwNtbbGtE\nZ9s2YNkyPkWyjWgNksSHhqQkjEzGM+mWLgUSE8W2RiDatOGBOzMSiz17eKLBJ5+IbYlAMMb7Y8yY\nQWJRQkgIj2GsWiW2JQLCGC84SU832i5IMCyMli2B6dN51bFknCozaveSm8uvrT/8wNOZJcHx4/wO\nY/p0sS0xG2Qy/j9euBDQaldn2chkPH/4o4+MtwsakrI8Cgt565B58yQUkDUTZs4E0tKALVvEtkRA\nGONNyRo2FNsSs+Orr/go3Z9/SiSsk5fHKxR//BHo37/S1SmGUUM4eZJPD3rlCk84IqrPpUtAnz58\nOMqMnB7CiBQU8OSGiAjgtdfEtkYgDhzgxSZxcbxtfQWQYNQg3nmHB+wk15NRoTD5eJBSySfdeftt\nYOJEk+6aEJkTJ4DRo3lthhmF0qrHmDG83mbZsgpXo6B3DWLJEu5KR0WJbYmAREcDL75o8tqM778H\nHB35TIdEzeLFF4H//EditRnffmsU9SMPw8L5/XdeiXz+vESCtIzxcaFBg4wavNMmMRHo2lViNRc5\nOUCdOmJbYTE8esSnBPn1V6BHD7GtMR3kYdQwXn+dt5FZuFBsSwRCJuP9pSIigJs3jb47xngPtxkz\nJCQW167xyrT8fLEtsRhcXLiXGRbGR0SJ8iEPQwKkpfEpQw8fllBH1W++AXbv5gdlxInNf/kF+Ppr\nXsAliep5pZIXQo4aBUyZIrY1Fsfw4fzGISJCbEtMAwW9ayg//QSsXQucOiWRylWlko8NvP02X4zA\n3btcaPfu5UNSkuC773jPC7ncqEIrVdS/iQMHeOq61CHBqKGo2zL16cOnaZYEiYk8Z9jZWfBNM8bT\nKNu3l9Bw3s2bvDlSTAzg4yO2NRbLpk1cd2NjJeJ1Avw3ceMGn9hFC4sQjEePHmHkyJFISkpC8+bN\n8euvv8KpnImSmzdvjnr16sHa2hq2traIjY0td3skGJykJH6nXM1ZG2sEW7cCixfzoi3JdPr+z394\nsZaZNXK0NBjjOReBgbzZpyS4do177KdP83YRJViEYMycORMNGzbEzJkzsWTJEmRmZmLx4sVl1vP2\n9sbZs2fh4uJS4fZIMJ7y00+8LuP0aQndHQlMejov1tq/n893IRlu3wa8vGguXwFITeVDUvv385bo\nkmDdOt67rWdPzUsWIRht27bFsWPH4Obmhrt37yI4OBj//vtvmfW8vb1x5swZNKhkphMSjKdI8u5I\nQBgDXnmFC8b8+WJbQ5gz27bx4cqzZyWSsl4OFiEYzs7OyCyZz5kxBhcXF81zbVq0aIH69evD2toa\n4eHhmKijBJcEozTqu6MDByR2B11YyO+eq3EHvWEDsHIlH5+2sxPQNkJyMMZnWmzevNKCaYvF0Gun\n0fJp+vbti7t375Z5feEzEUaZTAaZjq5fUVFRaNKkCR48eIC+ffuibdu2ePHFF8tdd968eZrHwcHB\nCA4OrrLtlo67Oy/0HDOG3x3VqiW2RQIxbRofcpk1q0ofv3GDf1QuJ7EgKkfd0dbfHxgypNRIjsUi\nl8shl8ur/HnRhqTkcjkaN26M9PR09OrVq9whKW2+/PJL1KlTB9PLadFMHkb5jB3Li31//FFsSwRC\nHdU/eNDgnMeiIh7ze/NN3r5cEmRk8EkdJNFm1XzZs4dPJ3DhglES9kTFIiq9hw4dik2bNgEANm3a\nhGUiMk0AAA6VSURBVFdffbXMOnl5ecjOzgYA5Obm4uDBg+jQoYNJ7bR0Vq/m19Y//xTbEoHw8uLj\nSaNG8dYXBjB/Pp8qYPJkI9lmap48eZpCSxiVwYN53GviRAnNQVNFREurfeONN3Dnzp1SabVpaWmY\nOHEi9u7di9u3b2PYsGEAgOLiYowZMwaf6JgCjTwM3Zw6Bbz6KnDuHB+qkgRvvQWoVMDPP+u1+okT\nfCz6wgWJtC1njLdXrVuXt1EhjI5CwRNJ3n9fWt2MLSLoLTQkGBUzfz4ft//7b4lkXObm8lzHH37g\nE5xXwIMHPPD/4488e0wSrFvHGx+dPs1b7BIm4epV3tn2xAnev00KkGAQZSguBvr14/M9LFggtjUC\n8eABn0GugvF7pRIYMIBry6JFJrTNmMTFcZE8cQJo21Zsa2ocaq2OiZFGMgkJBlEu9+7xeLGk7rQr\nYf584MgR4NAhifTXAvicvEOG8Og9YXIYA0JD+YjoL79Yfr4BCQahk6goYNgwfnfk7S22Ncbl0CF+\nYp85AzRpIrY1AlJYSDnBIpOXB3TvzmMZlp5xR4JBVMh33/E7o6go6VavJibyE3rr1kpDHARRJW7d\n4r+xP//kQ72WCgkGUSHqBBsrK2DLFst3qTXcvg3cu4dsv+6aubmnThXbKELK7N0LhIfzrgFNm4pt\nTdWwiDoMQjxkMt4e4+ZNCQXAAeD2bbBhwzDj1Zvo3h344AOxDSKkzqBBwLvv8pBSbq7Y1pgG8jBq\nKHfv8rzypUuBkSPFtkYY/vjPWjx3/Gu43YyGXdOGYptTfe7f5+ldy5dLJB9aejDGy4IePeLzVlna\nv4k8DEIvGjcGIiN50O70abGtqT7r1gEf3whHg4nDYPfGq5Y/MXNuLi8xrl3b8q5CNQiZjM90mZ3N\n54WXOuRh1HD27uUT3x8+zGefs0R+/50PQR07BrRqqeJBGsaAHTssM0hTXMx7Ubi68vFDSzyGGkZm\nJg9+T5pkWbEz8jAIgxg0CPj6az5R2+3bYltjOIcOAe+9x4WvVSvwaP7PP/P5Vy3xQssYv+qoVLzt\nhyUeQw3E2ZlPJ/DNN3wSM6kilXImohqMGcN72fXpwwuILaXnVGwsEBIC/O9/zzSvdXDgDQotkdWr\ngfh43seFpky0KLy8+A1Mr168Y8uYMWJbJDw0JEVoWLwY2LSJ/+jNXTROnuRFiBs28KF+yZCXx4ek\n6tUT2xKiily5AvTuDaxaBbz+utjWVIzZTKBEWB6zZ/O/L77I26L7+Ihrjy4OHeKexdatvEeWpJBC\ng6Iajq8vsG8f72OWk8M7DkgFimEQpZg9my89ewIXL4ptTVl27+Yx7T/+MFAsbt/msYGCAqPZRhBq\nOnXiHaK/+IKnrktlAIQEgyjDO+/wKV779uXZU+YAY7ytycSJPMCtY6Ze3TRtymeo698fyMoyio0G\n8+BBzan4qoG0bcuHTjdvBqZP53kMlg4JBlEuI0fyrNQxY4Bly8S9Q1IogAkTePJTTAzw3HNV2IiD\nA7BzJ5+gOSiIDzSLyZUrvHJyzx5x7SCMiocHTyQ5e5ZnJGZkiGtPdUWLBIPQycsv80ykX3/lM9aV\nzJhrUpKSgJdeAvLzecPE5s2rsTFra+6mTJ/ON7p5s1Bm6g9jvMqwZ09g3jzplNkTOnF25nG3Dh34\n3CxizKpbUADMmlX92QJJMIgKadaM3yE5OwMBATzb0xSoVMCaNXwOjxEjuLdTu7YAG5bJeKWiXG76\ntNWMDF4fsno1rzKkOS1qDLa2PJbx/ffA0KG840thoWn2feECP49u3Kj+RGKUVkvozd69vEguOJgX\n+zU0Urummzf5nVB+PrBxo3Smw8SsWfzv/PmAvb24thCikZjImxbeucNnGX7pJePsJyeHn6erV/N2\nZOPGla0DtYhK799++w3t27eHtbU1zp07p3O9AwcOoG3btmjVqhWWLFliQgstF7lcbrRtDxrEa8oa\nNOCpgwsWCBs/TkzkQhEYyPcVFVU9sajSd6FSGS9gs3gxsGSJKGJhzN+FpSH2d9G8OU+7/eorfhEf\nM4afV0JRWMhFolUr4N9/+SRib74pTNMAUQSjQ4cO2LVrF3r27KlzHaVSiffffx8HDhzAlStXsH37\ndly9etWEVlomxj4Z6tTh7Q+OHeMubsuWwKefAgkJVdseY8CpU1wounQB3Nz4dmfMqH7PvSp9F3/+\nyXMiN26segPD7OzyRUfENh9iXyTNCXP4LmQyXnh65Qq/KerdGxg4kGclVvV+JTkZiIgA2rThuRT7\n9gHbt/NhZaEQpXCvrR6T18fGxsLHxwfNS6Kco0aNwl9//YV2khmfsGzateNV4YmJ3O0NDOTV4a+9\nxusj2rYFnJzKfo4xID0duHSJhxF27OBtFEaPBq5dM94wl968+iovnlu5kqtWr148v3joUN1zvSqV\n/MyPigKOH+dn6j//lDS3Igjd1KkDzJ3Lf2pbtwLTpgEPH/Kiv4EDgRde4D0oy7vXyMsDzp/nP7W9\ne4Fz557G+wIDjWOv2VZ6p6amwtPTU/Pcw8MDp6XQh1tiNG/OA3nffcevl7t2AZMnA9ev8+tuixbc\nU1AqgaIiLjAyGc9uDQzkLdY7dDCjHntWVsB//sOXtDSe3vL333wS9PIEIzyc38Y1bgz06MEF5ttv\nuatEEHri4MBzMcLCeAxv/36eTPfOOzyW5+XFf36Fhbx0JycHSE3lHaafe46vN2SI8addNlrQu2/f\nvrh7926Z1yMiIjBkyBAAQK9evfD111+jc+fOZdb73//+hwMHDmDdunUAgC1btuD06dP4/vvvy6wr\nM5urDUEQhGVhFr2k/q5m/qW7uzuSk5M1z5OTk+Hh4VHuupQhRRAEYXxEr8PQdbHv2rUrbty4gcTE\nRBQWFmLnzp0YOnSoia0jCIIg1IgiGLt27YKnpydiYmIwaNAgDBgwAACQlpaGQYMGAQBsbGywatUq\n9O/fH76+vhg5ciQFvAmCIMSEWTD79+9nbdq0YT4+Pmzx4sVimyMad+7cYcHBwczX15e1b9+erVix\nQmyTRKe4uJgFBASwwYMHi22KqGRmZrLXX3+dtW3blrVr146dOnVKbJNEIyIigvn6+jI/Pz8WEhLC\nFAqF2CaZjAkTJjBXV1fm5+enee3hw4esT58+rFWrVqxv374sMzOz0u2IPiRVVahO4ym2trb49ttv\nER8fj5iYGKxevbrGfhdqVqxYAV9f3xqfEDF16lQMHDgQV69exaVLl2qsl56YmIh169bh3LlziIuL\ng1KpxI4dO8Q2y2RMmDABBw4cKPXa4sWL0bdvX1y/fh29e/fG4sWLK92OxQqGdp2Gra2tpk6jJtK4\ncWMEBAQAAOrUqYN27dohLS1NZKvEIyUlBfv27cPbb79doxMiHj9+jBMnTuCtt94CwId569evL7JV\n4lCvXj3Y2toiLy8PxcXFyMvLg7u5TyspIC+++CKcnZ1LvRYZGYnQktmdQkND8eeff1a6HYsVjPLq\nNFJTU0W0yDxITEzE+fPnEWisyh0L4MMPP8SyZctgZWWxP29BSEhIQKNGjTBhwgR07twZEydORF5e\nnthmiYKLiwumT5+OZs2aoWnTpnByckKfPn3ENktU7t27B7eSeiE3Nzfcu3ev0s9Y7BlV04cayiMn\nJwfDhw/HihUrUKdOHbHNEYU9e/bA1dUVnTp1qtHeBQAUFxfj3LlzeO+993Du3DnUrl1br2EHKXLr\n1i189913SExMRFpaGnJycrB161axzTIbZDKZXtdUixUMQ+o0agJFRUV4/fXXMXbsWLz66qtimyMa\n0dHRiIyMhLe3N0JCQnDkyBG8WUPbiHt4eMDDwwPPlcw4NXz48AqbfUqZM2fOICgoCA0aNICNjQ2G\nDRuG6Ohosc0SFTc3N01xdXp6OlxdXSv9jMUKBtVpPIUxhrCwMPj6+mLatGlimyMqERERSE5ORkJC\nAnbs2IGXX34Zm8WYKMkMaNy4MTw9PXH9+nUAwKFDh9C+fXuRrRKHtm3bIiYmBvn5+WCM4dChQ/D1\n9RXbLFEZOnQoNm3aBADYtGmTfjeaxkrjMgX79u1jrVu3Zi1btmQRERFimyMaJ06cYDKZjPn7+7OA\ngAAWEBDA9u/fL7ZZoiOXy9mQIUPENkNULly4wLp27co6duzIXnvtNZaVlSW2SaKxZMkSTVrtm2++\nyQoLC8U2yWSMGjWKNWnShNna2jIPDw+2YcMG9vDhQ9a7d2+D0molMYESQRAEYXwsdkiKIAiCMC0k\nGARBEIRekGAQBEEQekGCQRAEQegFCQZBmJi0tDSMGDFCbDMIwmAoS4ogCILQC/IwCMIA/vnnH/j7\n+6OgoAC5ubnw8/NDfHw8+vTpgy5duqBjx46IjIzUue6VK1eQmJiIDh06AADi4+MRGBiITp06wd/f\nHzdv3hTz8AiiQsjDIAgD+eyzz6BQKJCfnw9PT0/MmDEDeXl5qFu3LjIyMtC9e3fcuHGj3HVnzZqF\nxMREDBkyBHFxcZgyZQq6d++O0aNHo7i4GMXFxXBwcBD5CAmifEgwCMJAioqK0LVrVzg6OuLUqVMo\nLi7Ghx9+iBMnTsDKygrXr19HQkICXF1dy6wrk8lKCcb27duxcOFCvPnmmxg2bBh8fHzEPjyC0AkN\nSRGEgWRkZCA3Nxc5OTnIz8/H1q1bkZGRgXPnzuH8+fNwdXWFQqEod91nCQkJwe7du+Ho6IiBAwfi\n6NGjpj4cgtAbEgyCMJDw8HAsWLAAo0ePxqxZs/DkyRO4urrC2toaR48eRVJSks51n+X27dvw9vbG\nlClT8MorryAuLs6Uh0IQBmEjtgEEYUls3rwZ9vb2GDVqFFQqFYKCgtCzZ0/s2LEDHTt2RNeuXdGu\nXTswxspdVy6Xo3nz5pq5B3799Vds2bIFtra2aNKkCebMmSPyERKEbiiGQRAEQegFDUkRBEEQekGC\nQRAEQegFCQZBEAShFyQYBEEQhF6QYBAEQRB6QYJBEARB6MX/A04PLhwTc4eWAAAAAElFTkSuQmCC\n"
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "###Plotting with multiple plots on a grid"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Details on grid plotting <http://matplotlib.org/users/gridspec.html>"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "###Some neat tricks with legends, bg colors and arrows in labels"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "a = np.arange(0,3,.02)\n",
      "b = np.arange(0,3,.02)\n",
      "c = np.exp(a)\n",
      "d = c[::-1]\n",
      "\n",
      "fig = plt.figure()\n",
      "ax = fig.add_subplot(111)\n",
      "ax.plot(a,c,'k--',a,d,'k:',a,c+d,'k')\n",
      "leg = ax.legend(('Model length', 'Data length', 'Total message length'),\n",
      "           'upper center', shadow=True)\n",
      "ax.set_ylim([-1,20])\n",
      "ax.grid(True)\n",
      "ax.set_xlabel('Model complexity --->')\n",
      "ax.set_ylabel('Message length --->')\n",
      "ax.set_title('Minimum Message Length')\n",
      "\n",
      "ax.set_yticklabels([])\n",
      "ax.set_xticklabels([])\n",
      "\n",
      "# set some legend properties.  All the code below is optional.  The\n",
      "# defaults are usually sensible but if you need more control, this\n",
      "# shows you how\n",
      "\n",
      "# the matplotlib.patches.Rectangle instance surrounding the legend\n",
      "frame  = leg.get_frame()\n",
      "frame.set_facecolor('0.80')    # set the frame face color to light gray\n",
      "\n",
      "# matplotlib.text.Text instances\n",
      "for t in leg.get_texts():\n",
      "    t.set_fontsize('small')    # the legend text fontsize\n",
      "\n",
      "# matplotlib.lines.Line2D instances\n",
      "for l in leg.get_lines():\n",
      "    l.set_linewidth(1.5)  # the legend line width\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXAAAAEPCAYAAABbbZ8rAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n"
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "### Plotting using the OO interface and setting low level parameters"
     ],
     "language": "python",
     "metadata": {},
     "outputs": []
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import matplotlib.pyplot as plt #1\n",
      "figsize = (8, 5) #2 \n",
      "fig = plt.figure(figsize=figsize) #3 \n",
      "ax = fig.add_subplot(111) #4 \n",
      "line = ax.plot(range(10))[0] #5 \n",
      "ax.set_title('Plotted with OO interface') #6 \n",
      "ax.set_xlabel('measured') \n",
      "ax.set_ylabel('calculated')\n",
      "ax.grid(True) #7 \n",
      "line.set_marker('o')\n",
      "plt.savefig('oo.png',dpi=150)\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAeUAAAFNCAYAAAA+f3fhAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nggAAAABJRU5ErkJggg==\n"
      }
     ],
     "prompt_number": 1
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Basic Pylab Boxplot \n",
      "also see pandas.boxplot"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import pandas as pd    \n",
      "from pylab import boxplot as bp\n",
      "plt.figure()\n",
      "loansmin = pd.read_csv('../datasets/loanf.csv')\n",
      "data = loansmin['FICO.Score']\n",
      "arrdata = np.array(data)\n",
      "print(data[1:3])\n",
      "print(\"****\")\n",
      "print(type(arrdata))   \n",
      "    # basic plot\n",
      "b = bp(arrdata)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "11    670\n",
        "12    665\n",
        "Name: FICO.Score, dtype: int64\n",
        "****\n",
        "<type 'numpy.ndarray'>\n"
       ]
      },
      {
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAXIAAAD9CAYAAAChtfywAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhgAAAABJRU5ErkJggg==\n"
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "###References\n",
      "\n",
      "[1] Graphics with Matplotlib <http://physics.nmt.edu/~raymond/software/python_notes/paper004.html>  \n",
      "[2] Details on grid plotting <http://matplotlib.org/users/gridspec.html>"
     ]
    }
   ],
   "metadata": {}
  }
 ]
}
